In the following we briefly describe the extended mesoscale approach for multicomponent flows with interacting interfaces developed in [1]}, [2]}.
The multicomponent system, namely an emulsion formed by droplets immersed in a bulk fluid, is modeled via a color-gradient [3]}, [4]} regularized Lattice Boltzmann method [5]}, [6]}, [7]}, which employs two sets of probability distribution functions. Each set evolves via a sequence of streaming and collision steps [8]}, [9]}, [10]}
\( f_i^k(\mathbf {x}+\mathbf {c}_i \Delta t, t+\Delta t)=f_i^k(\mathbf {x},t) + \Omega _i^k (f_i^k(\mathbf {x},t)) + F_i^{rep},\) 
